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2333472 = 253109223
BaseRepresentation
bin1000111001101100100000
311101112220220
420321230200
51044132342
6122003040
725556061
oct10715440
94345826
102333472
111354199
12946480
1363916b
1444a568
153115ec
hex239b20

2333472 has 48 divisors (see below), whose sum is σ = 6209280. Its totient is φ = 767232.

The previous prime is 2333467. The next prime is 2333473. The reversal of 2333472 is 2743332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a d-powerful number, because it can be written as 25 + 34 + 310 + 311 + 4 + 7 + 221 .

It is not an unprimeable number, because it can be changed into a prime (2333473) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10353 + ... + 10575.

It is an arithmetic number, because the mean of its divisors is an integer number (129360).

22333472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2333472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104640).

2333472 is an abundant number, since it is smaller than the sum of its proper divisors (3875808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2333472 is a wasteful number, since it uses less digits than its factorization.

2333472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 337 counting only the distinct ones).

The product of its digits is 3024, while the sum is 24.

The square root of 2333472 is about 1527.5706202988. The cubic root of 2333472 is about 132.6378676521.

The spelling of 2333472 in words is "two million, three hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 223 327 436 446 654 669 872 892 1308 1338 1744 1784 2616 2676 3488 3568 5232 5352 7136 10464 10704 21408 24307 48614 72921 97228 145842 194456 291684 388912 583368 777824 1166736 2333472